The World of Scatter Plots
Created by
Roberta Leopold

Updated June 2004

Introduction
Task
Process
Resources
Evaluation
Conclusion

 
 
INTRODUCTION
Is the price of an apple pie related to its weight? We will look at four brands of apple pies to answer this question. As a class, we will collect the data, organize it in chart form, make a scatter plot, find a line of best fit using the TI-83 graphing calculator and then analyze the data. Afterwards, time permitting, we will analyze the taste of the pies. You will be assigned to a group to practice your scatter plot skills as described below.
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TASK

After learning the process for collecting, organizing and analyzing data, you and the members of your group will complete three tasks:

Task #1 Shoe Size vs. Height
Your group will obtain shoe size and height data from the class. Then your group will organize and analyze the data. Your analysis will involve making a scatter plot and finding a line of best fit on the TI-83 graphing calculator and answering the given questions.

Task #2 High School Drop-Out Rate
Your group will go to a designated site on the Internet to collect information about high school drop-out rates. Then you will organize and analyze your data (as in activity #1.)

Task #3 Positive and Negative Correlations
Your group will explore sites on the Internet provided in a database. You will be required to find two examples of data: one illustrating a positive correlation and one illustrating a negative correlation. Your group will present both sets of data to the class in chart form. Then you will choose one set of data to present to the class.

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PROCESS

You will work with an assigned group to complete this project. Five class periods will be allotted to work on the project. If additional time is needed to complete the project, you and your group members are expected to do this work outside of class.

The following list of steps will help you in completing each of the tasks.
 

Task #1 Shoe Size vs. Height
 1) Measure the height and shoe size of each of the members of your group. Record this information and enter it into the folder provided on the computer desktop.
2) Once all the groups have submitted their data, open the class folder to obtain the complete set of class data.
3) Enter the class data into the TI-83 and find the line of best fit. Click here for help.
4) Complete the following on the worksheet provided:
    a) Sketch the scatter plot on the grid provided.
    b) What type of correlation do you see?
    c) Enter the data into your calculator and find the equation for the line of best fit for the data.
    d) Predict the shoe size of a person 8 feet tall.
    e) Is it reasonable to extend the line of best fit without bound in both directions? Why or why not?
    f) How do you think the graph would compare if the same data were collected in the 1700? Why?
 
Task #2 High School Drop-Out Rates

1) Working with your group, go to the Table of Annual High School Drop-Out Rates.
2) Complete the following on the worksheet provided.
    a) Sketch a scatter plot for the drop-out rate of grade 10 for the years 1984-1998 on the grid provided.
    b) What type of correlation do you see?
    c) What is a possible explanation for the trend?
    d) Enter the data in your calculator and find the equation for the line of best fit for the data.
          Click here for help.
    e) Predict the drop-out rate for the year 2005. Do you think this prediction is reasonable?
    f) What might cause the slope of this trend line to change?
 
 

Task #3 Positive and Negative Correlations

1) Working with your group, you will explore the database of tables to find one example of data
    illustrating a positive correlation and one example of data illustrating a negative correlation. Be sure to
    note the sites where you find your data. For each set of data, print out a copy of the data in chart form.
2) For each set of data, complete the following on the worksheet provided.
    a) Sketch the scatter plot on the grid provided.
    b) Enter the data in your calculator and find the equation for the line of best fit.
    c) Give an appropriate analysis of the data.
3) Your group will present your findings from one set of data to the class, including a demonstration of
    the procedure on the TI-83. Also, your group will lead the class in a discussion about the data and its
    implications.

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RESOURCES

The following is a list of Internet Sites you should explore to complete Task #3 Positive and Negative Correlation.

1) The Quarterly Wage and Employment Series (QWES)- provides current data about employment and earnings
2) The Cable Industry at a Glance- provides a table of basic cable rates
3) Digest of Education Statistics- provides tables of data for levels of education
4) The Census Bureau- provides data tables for the following subjects:
(In these sites, look for the historical tables)
1 Marital Status and Living Arrangements Data
2 Voting and Registration Data
3 Households and Families
4 Educational Attainment
5 U.S. COMMODITY EXPORTS AND IMPORTS AS RELATED TO OUTPUT (OEI)
6 Poverty
7 Income
8 Fertility of American Women
9 Selected Historical Census Data
10 School Enrollment
11 Child Care
12 State Population Estimates
13 Urban and Rural Definitions and Data
 
 

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EVALUATION

Your final project grade will be based on the total number of points from each task.
Click here to see the rubrics for each task.
Click here to see the scale for the final project grade.

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CONCLUSION

In this activity, several applications of the scatter plot were explored. A scatter plot is a graph which relates data from two different sets by plotting the data as ordered pairs. The plot helps to determine a relationship between the two sets of data. As you have seen, this relationship can be used to determine trends and make predictions.

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